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- W3208458802 abstract "When each edge of a connected G graph is replaced by a unit resistor, the resistance distance is computed as the effective resistance between any two vertices in G. The Kirchhoff index of G is given by the sum of resistance distances between all pairs of vertices. The multiplicative eccentricity resistance-distance (MERD) of a connected graph G is defined as , where is the set of vertices of , is the resistance-distance between the vertices and , and are the eccentricity of the vertices and , respectively. The MERD of the G can be obtained by using Kirchhoff index. In this paper, we characterize the bipartite graphs which have the smallest and largest MERD with domination number 2 are given. We also characterize the bipartite graphs which have the smallest MERD with the domination number 3." @default.
- W3208458802 created "2021-11-08" @default.
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- W3208458802 date "2021-10-21" @default.
- W3208458802 modified "2023-09-23" @default.
- W3208458802 title "A Note On Bipartite Graphs with Domination Number 2 and 3" @default.
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- W3208458802 doi "https://doi.org/10.31590/ejosat.1012651" @default.
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